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221332011120 = 243251127945961
BaseRepresentation
bin1100111000100001101…
…0100111100001110000
3210011022000020010111100
43032020122213201300
512111241443323440
6245402321044400
721663546024153
oct3161032474160
9704260203440
10221332011120
1185959171960
1236a8b786700
1317b4395c26c
14a9d925bc9a
155b56105230
hex33886a7870

221332011120 has 120 divisors (see below), whose sum is σ = 810880033392. Its totient is φ = 53656243200.

The previous prime is 221332011101. The next prime is 221332011127. The reversal of 221332011120 is 21110233122.

221332011120 is a `hidden beast` number, since 2 + 213 + 320 + 11 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221332011093 and 221332011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13965061 + ... + 13980900.

Almost surely, 2221332011120 is an apocalyptic number.

221332011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221332011120 is an abundant number, since it is smaller than the sum of its proper divisors (589548022272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221332011120 is a wasteful number, since it uses less digits than its factorization.

221332011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945991 (or 27945982 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221332011120 its reverse (21110233122), we get a palindrome (242442244242).

The spelling of 221332011120 in words is "two hundred twenty-one billion, three hundred thirty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 27945961 55891922 83837883 111783844 139729805 167675766 223567688 251513649 279459610 307405571 335351532 419189415 447135376 503027298 558919220 614811142 670703064 838378830 922216713 1006054596 1117838440 1229622284 1257568245 1341406128 1537027855 1676757660 1844433426 2012109192 2235676880 2459244568 2515136490 2766650139 3074055710 3353515320 3688866852 4024218384 4611083565 4918489136 5030272980 5533300278 6148111420 6707030640 7377733704 9222167130 10060545960 11066600556 12296222840 13833250695 14755467408 18444334260 20121091920 22133201112 24592445680 27666501390 36888668520 44266402224 55333002780 73777337040 110666005560 221332011120